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Konuşmacı, yakınsak-ıraksak konularıyla ilgili karşılaştırma testini anlatmaktadır.","Videoda karşılaştırma testinin temel prensibi açıklanmaktadır: Eğer bir fonksiyon diğerinden büyük veya eşitse, o fonksiyonun integrali yakınsaksa diğer fonksiyonun da yakınsak olması gerektiği, ıraksaksa ıraksak olması gerektiği anlatılmaktadır. Konuşmacı, bu testi bir örnek üzerinden uygulamalı olarak göstermekte, 1 ile sonsuz aralığında 1/(x+sin²x) fonksiyonunun integralinin ıraksak olduğunu karşılaştırma testi kullanarak kanıtlamaktadır."]},"endTime":531,"title":"Karşılaştırma Testi Matematik Dersi","beginTime":0}],"fullResult":[{"index":0,"title":"Karşılaştırma Testi Kavramı","list":{"type":"unordered","items":["Karşılaştırma testi, yakınsak ve ıraksak fonksiyonlar arasındaki ilişkiyi incelemek için kullanılan bir yöntemdir.","Eğer f(x) fonksiyonu g(x) fonksiyonundan büyük veya eşitse, a ile sonsuz aralığında f(x) fonksiyonunun integrali yakınsaksa, g(x) fonksiyonu da mecburen yakınsak olmak zorundadır.","Eğer f(x) fonksiyonu g(x) fonksiyonundan büyük veya eşitse, a ile sonsuz aralığında g(x) fonksiyonunun integrali ıraksaksa, f(x) fonksiyonu da mecburen ıraksaktır."]},"beginTime":0,"endTime":185,"href":"/video/preview/12745195420273914195?parent-reqid=1769523180685661-4781625420472773126-balancer-l7leveler-kubr-yp-sas-191-BAL&text=rustyintegrale&t=0&ask_summarization=1"},{"index":1,"title":"Karşılaştırma Testinin Uygulanması","list":{"type":"unordered","items":["Örnek olarak, 1 ile sonsuz aralığında 1/(x+sin²x) fonksiyonunun integralini hesaplamak için karşılaştırma testi kullanılabilir.","Sinüs fonksiyonu her zaman -1 ile 1 aralığında değer alır, bu nedenle sin²x her zaman 1'den küçük veya eşittir.","1/(x+sin²x) ifadesi, 1/(x+1) ifadesinden küçük veya eşittir."]},"beginTime":185,"endTime":359,"href":"/video/preview/12745195420273914195?parent-reqid=1769523180685661-4781625420472773126-balancer-l7leveler-kubr-yp-sas-191-BAL&text=rustyintegrale&t=185&ask_summarization=1"},{"index":2,"title":"İntegralin İraksaklığı","list":{"type":"unordered","items":["1/(x+1) fonksiyonunun integrali, 1 ile sonsuz aralığında hesaplanabilir ve belirsiz integrali ln|x+1|'dir.","Belirli integral, b ile 1 aralığında limit alınarak hesaplanır ve b sonsuza giderken limit sonsuz sonucunu verir.","Küçük olan fonksiyon ıraksaksa, ondan büyük olan fonksiyon da ıraksaktır, bu nedenle 1/(x+sin²x) fonksiyonunun integrali de ıraksaktır."]},"beginTime":359,"endTime":528,"href":"/video/preview/12745195420273914195?parent-reqid=1769523180685661-4781625420472773126-balancer-l7leveler-kubr-yp-sas-191-BAL&text=rustyintegrale&t=359&ask_summarization=1"}],"linkTemplate":"/video/preview/12745195420273914195?parent-reqid=1769523180685661-4781625420472773126-balancer-l7leveler-kubr-yp-sas-191-BAL&text=rustyintegrale&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"28) Kalku lu s 2 - kars ılas tırma testi , integral hesabında 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#barışintegral #ltikamp Arkadaşlar selamlar herkese iyi çalışmalar. Barış Çelenk Yayınları İntegral Fasikülü Test 28 Un çözümlerini bu videoda sizler için yaptık. 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